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Mathematical methods projection

TKISolver has also had heavy use in the material balance course in chemical engineering, and in a mathematical methods course in materials engineering. Graduate students in chemistry are using it in research projects in spectroscopy and kinetics. [Pg.117]

Beddow [42] showed how a number of particle silhouette shapes could be analyzed and reproduced by Fourier transforms. Gotoh and Finney [52] proposed a mathematical method for expressing a single, three-dimensional body by sectioning as an equivalent ellipsoid having the same volume, surface area and projected area as the original body. [Pg.84]

The argument just made assumes, implicitly, a model in which the substrate is molecularly flat. Appropriate revision to account for roughness effects can be made, which will be relevant when the substrate microtopography is known. The mathematical methods that have been employed to treat the contact angle of a liquid on a rough surface (28) may be employed. For example, we may define as actual area of interface and A as actual area projected on a plane parallel to the envelope of the surface. The roughness ratio, p, is... [Pg.48]

Map Projection Mathematical method for transferring information from the spherical Earth to a flat surface. [Pg.1159]

This paper has been prepared with the support of the Ministry of Defence of the Czech republic, Partial Project for Institutional Development, K-202, Department of Combat and Specid Vehicles, University of Defence, Brno and the research project no. 3, Management Support of Small and Middle-Sized Firms Using Mathematical Methods of Academy Sting, Business College in Brno. [Pg.291]

Using the theorem that the sufficiency condition for mathematical correctness in 3D-reconstruction is fulfilled if all planes intersecting the object have to intersect the source-trajectory at least in one point [8], it is possible to generalise Feldkamp s method. Using projection data measured after changing the sotuce-trajectory from circular to spiral focus orbit it is possible to reconstruct the sample volume in a better way with the Wang algorithm [9]. [Pg.494]

New ways to represent structure data became available through molecular modeling by computer-based methods. The birth of interactive computer representation of molecular graphics was in the 196Ds. The first dynamic molecular pictures of small molecules were generated in 1964 by Lcvinthal in the Mathematics and Computation (MAC) project at the Electronic Systems Laboratoiy of the Massachusetts... [Pg.130]

This method is most usefiil when only one of the shafts can be rotated for the alignment procedure, or when the two shaft ends are very close to each other. Obtain the displacement readings with the dial on the rim (OD) of the coupling and the coupling face. Project these readings mathematically or graphically to the motor base to determine the required adjustments and shims for each foot. This method is not as precise and may have a built-in error, if the coupling center is eccentric from the shaft centerline. [Pg.146]

A model may be defined as a device which behaves in a manner similar enough to some other system so that useful knowledge about the system may be gained from a study of the model. The concept of models in the form of laboratory or pilot plant equipment is certainly very familiar in chemical engineering. The usefulness of such models in predicting the operation of present or projected plant equipment is well appreciated. However, there are circumstances in which experimentation with physical models is not the best method of study. Frequently mathematical models are more convenient to use, lower in cost, and more reliable. [Pg.348]


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